Results 31 to 40 of about 299,152 (273)

Approximation of additive functional equations in NA Lie C*-algebras

Demonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

On properties of principal elements of Frobenius Lie algebras [PDF]

, 2014
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core  

Invariants of Lie algebras extended over commutative algebras without unit

, 2018
We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit.
Bajo I., Benoist Y., Berezin F., Bourbaki N., Dzhumadil'daev A. S., Dzhumadil'daev A. S., Dzhumadil'daev A. S., Feigin B. L., Filippov V. T., Garland H., Garland H., Haddi A., Hanlon P., Hochschild G., Hopkins N. C., Kac V., Larsson A., Leger G. F., Leites D., Loday J.-L., Loday J.-L., Löfwall C., Neeb K.-H., Ntolo P., Pirashvili T., Rozenfeld B. I., Santharoubane L. J., Zusmanovich P., Zusmanovich P.   +28 more
core   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

FEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Generalized Lie n-derivations on arbitrary triangular algebras

Open Mathematics, 2023
In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
doaj   +1 more source

Dirac structures of omni-Lie algebroids

, 2011
Omni-Lie algebroids are generalizations of Alan Weinstein's omni-Lie algebras. A Dirac structure in an omni-Lie algebroid $\dev E\oplus \jet E$ is necessarily a Lie algebroid together with a representation on $E$.
Chen, Zhuo, Liu, Zhangju, Sheng, Yunhe
core   +1 more source

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

FEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva, Ariann E. Mendoza‐Martínez, P. Abril Medina‐Flores, Carlos Campero‐Basaldua, Alexander DeLuna, Soledad Funes   +5 more
wiley   +1 more source

Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
doaj   +1 more source

Transposed Poisson superalgebra [PDF]

Proceedings of the Estonian Academy of Sciences
In this paper, we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra.
Viktor Abramov, Olga Liivapuu
doaj   +1 more source

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

Journal of Mathematics, 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source